Biblioteca de la Universidad Complutense de Madrid

Construction of examples of b-completion


Amores Lázaro, Ángel Miguel y Gutierrez, M. (2001) Construction of examples of b-completion. Nonlinear analysis-theory methods & applications, 47 (5, Par). pp. 2959-2970. ISSN 0362-546X

[img] PDF
Restringido a Sólo personal autorizado del repositorio hasta 2020.


URL Oficial:


We survey some techniques for constructing b-completions. First, we give general results relating the b-completion of a product to the b-completion of its factors, the b-completion of a quotient, and the dependence of the b-completion on the bundle chosen to form it. Second, we relate (when possible) some b-completions to those of Riemannian metrics, and study invariant connections on homogenous spaces. Some particular examples are also considered.

Tipo de documento:Artículo
Información Adicional:

3rd World Congress of Nonlinear Analysts,JUL 19-26, 2000, Catania, Italy

Palabras clave:B-completion; Homogeneus reductive spaces; Singularity
Materias:Ciencias > Matemáticas > Geometria algebraica
Código ID:14708

[1] A. M. Amores, On the b-Completion of Certain Quotient Spaces. Lett. Math.

Phys. 15, 341-343 (1988).

[2J A. M. Amores, M. Gutiérrez. Singularities of Invariant Connections. Gen.

Relativity Gravitation. 24, 1235-1253 (1992).

[3J A. M. Amores, M. Gutiérrez. The b-completion of the Friedmann space. J.

Geom. Phys. 29, 177-197 (1999).

[4] B. Bosshard. On the b-Boundary ofthe Closed Friedmann-Model. Comm. Math.

Phys. 46, 263-268 (1976).

[5J C. J. T. Dodson, L. J. Sulley. The b-boundary of §l with a constant connection.

Lett. Math. Phys. 1, 301-307 (1976).

[6J H. Friedrich. Construction and properties of Space-Time b-Boundaries. Gen.

Relativity Gravitation. 5,681-697 (1974).

[7J R. Geroch. What is a Singularity in General Relativity? Ann. Physics. 48,

526-540 (1968).

[8J J. Gruszczak, M. Heller, Z. Pogoda. Cauchy Boudary and b-Incompleteness of

Space-Time. International Journal of Theoretical Physics. 30, 555-565 (1991).

[9J S. W. Hawking, G.F.R. Ellis. The Large-Scale Structure of Spacetime. University

Press, Cambridge, (1973).

[10J R. A. Johnson. The bundle boundary in sorne special cases. J. Math. Phys. 18,

898-902 (1977).

[l1J H. T. Laquer. Invariant affine connections on Lie Groups. Trans. AMS 331,

541-551 (1992).

[12J H. T. Laquer. Invariant affine connections on homogeneous spaces. Proc. AMS

115,447-454 (1992).

[13J R. K. Sachs. Spacetime b-Boundaries. Comm. Math. Phys. 33, 215-220 (1973).

[14] B. G. Schmidt. A New Definition of Singular Points in General Relativity. Gen.

Relatívity Gravítatíon. 1, 269-280 (1971).

[15] B. G. Schmidt. The local b-completeness of Space-times. Comm. Math. Phys.

29, 49-54 (1973).

Depositado:17 Abr 2012 10:20
Última Modificación:06 Feb 2014 10:07

Sólo personal del repositorio: página de control del artículo